{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Stratified Sphere Radar Cross Section\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 7.4.1.5, Mie gives the exact solution for scattering from a sphere.  The solution is composed of vector wave functions defined in a spherical coordinate system.  The terms of the Mie series are obtained from boundary value techniques.  Therefore, the Mie formulation may be employed regardless of the composition of the sphere.  To calculate the radar cross section of a sphere, use the Mie formulation along with far field approximations to give (Equations 7.42 and 7.43)\n",
    "\n",
    "\\begin{align}\n",
    "    S_1(\\theta_o) &= \\sum\\limits_{n=1}^\\infty(j)^{n+1}\\Big[A_n\\frac{P_n^1(\\cos\\theta_o)}{\\sin\\theta_o} - jB_n\\frac{d}{d\\theta_o}P_n^1(\\cos\\theta_o)\\Big], \\\\ \\nonumber \\\\\n",
    "    S_2(\\theta_o) &= \\sum\\limits_{n=1}^\\infty(j)^{n+1}\\Big[A_n\\frac{d}{d\\theta_o}\\frac{P_n^1(\\cos\\theta_o)}{\\sin\\theta_o} - jB_nP_n^1(\\cos\\theta_o)\\Big],\n",
    "\\end{align}\n",
    "\n",
    "where $P_n^1$ is the associated Legendre polynomial and may be calculated using the SciPy implementation ***scipy.special.lpmn(m, n, z)***.  $S_1(\\theta_o)$ and $S_2(\\theta_o)$ are the complex far-field scattered radiation values for the $\\hat{\\theta}$ and $\\hat{\\phi}$ directions.  The radar cross section for the $\\hat{\\theta}$ and $\\hat{\\phi}$ polarization states is then found to be (Equations 7.44 and 7.45)\n",
    "\n",
    "\\begin{align}\\label{eq:rcs_mie}\n",
    "    \\sigma_\\theta &= \\frac{4\\pi}{k_0^2}S_1(\\theta_o)\\cos^2(\\phi_0) \\hspace{0.5in} \\text{(m^2)}, \\\\ \\nonumber \\\\\n",
    "    \\sigma_\\phi &= \\frac{4\\pi}{k_0^2}S_2(\\theta_o)\\sin^2(\\phi_0) \\hspace{0.5in} \\text{(m}^2\\text{)}.\n",
    "\\end{align}\n",
    "\n",
    "For the $N$-layer concentric sphere, use the Mie coefficients of the following form (Equations 7.46 and 7.47)\n",
    "\n",
    "\\begin{align}\\label{eq:mie_coefficients_layered}\n",
    "    A_n = -(j)^n &\\frac{2n+1}{n(n+1)}\\frac{k_0a_0J_n(k_0a_0) + jZ_n(k_0a_0)(k_0a_0J_n^\\prime(k_0a_0)}{k_0a_0H_n(k_0a_0) + jZ_n(k_0a_0)(k_0a_0H_n^\\prime(k_0a_0)},  \\\\ \\nonumber \\\\\n",
    "    B_n = (j)^n &\\frac{2n+1}{n(n+1)}\\frac{k_0a_0J_n(k_0a_0) + jY_n(k_0a_0)(k_0a_0J_n^\\prime(k_0a_0)}{k_0a_0H_n(k_0a_0) + jY_n(k_0a_0)(k_0a_0H_n^\\prime(k_0a_0)}.\n",
    "\\end{align}\n",
    "\n",
    "Ruck et al. showed that the modal surface impedance and admittance can be derived using an iterative technique similar to the method used for transmission lines.  To begin, the impedance at the interface between the core and the first layer, $Z_n^N$, is determined independently.  Then, the impedance at the second interface, $Z_n^{N-1}$, is determined from $Z_n^N$.  This process continues until the impedance at the outermost surface, $Z_n^0$, is found.  Then $Z_n(k_0a_0) = j(Z_n^0/\\eta)$.  Following the same process for the admittance, $Y_n(k_0a_0)$ may also be calculated. \n",
    "The impedance and admittance are used in the Mie coefficients of (7.46) for the scattering radiation calculation in (7.42).  Finally, the radar cross section is obtained from (7.44). \n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the operating frequency (Hz), the radii (m), the relative permeabilities, the relative permittivities, the number of modes and the flag for perfectly conducting core"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency = 1e9\n",
    "\n",
    "radius = [1.0, 1.25]\n",
    "\n",
    "mu_r = [1.0, 1.0]\n",
    "\n",
    "eps_r = [1.0, 4.0]\n",
    "\n",
    "number_of_modes = 60\n",
    "\n",
    "pec = True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Size the ordered arrays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import ones\n",
    "\n",
    "nr = len(radius)\n",
    "\n",
    "\n",
    "mu = ones(nr + 1)\n",
    "\n",
    "eps = ones(nr + 1)\n",
    "\n",
    "ra = ones(nr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the parameters in the correct order"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "i = 0\n",
    "\n",
    "for r in radius:\n",
    "\n",
    "    ra[nr - 1 - i] = float(r)\n",
    "\n",
    "    i += 1\n",
    "\n",
    "\n",
    "\n",
    "i = 0\n",
    "\n",
    "for m, e in zip(mu_r, eps_r):\n",
    "\n",
    "    mu[nr - i] = float(m)\n",
    "\n",
    "    eps[nr - i] = float(e)\n",
    "\n",
    "    i += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the observation angles (radians) using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "from scipy.constants import pi\n",
    "\n",
    "\n",
    "observation_angle = linspace(0, pi, 721)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the coefficients for the sphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.rcs.stratified_sphere import coefficients\n",
    "\n",
    "An, Bn = coefficients(frequency, eps, mu, ra, number_of_modes, pec)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the radar cross section (m^2) for the stratified sphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.rcs.stratified_sphere import radar_cross_section\n",
    "\n",
    "from numpy import array\n",
    "\n",
    "et = array([radar_cross_section(frequency, oa, 0, An, Bn) for oa in observation_angle])\n",
    "\n",
    "ep = array([radar_cross_section(frequency, oa, 0.5 * pi, An, Bn) for oa in observation_angle])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the radar cross section (dBsm) for the stratified sphere using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f21390ab20>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from numpy import log10, degrees\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(degrees(observation_angle), 20.0 * log10(abs(ep[:, 1])), '', label='TE')\n",
    "\n",
    "plt.plot(degrees(observation_angle), 20.0 * log10(abs(et[:, 0])), '--', label='TM')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('RCS vs Bistatic Angle', size=14)\n",
    "\n",
    "plt.ylabel('RCS (dBsm)', size=12)\n",
    "\n",
    "plt.xlabel('Observation Angle (deg)', size=12)\n",
    "\n",
    "plt.ylim(min(20.0 * log10(abs(et[:,0]))) - 3, max(20.0 * log10(abs(et[:,0]))) + 3)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "# Set the legend\n",
    "\n",
    "plt.legend(loc='upper left', prop={'size': 10})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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